Question 1: Calculate the surface area of a cuboid with length 8 cm, width 3 cm, and height 4 cm.

Answer: 176 cm^2

Question 2: A rectangular box measures 12 m in length, 5 m in width, and 3 m in height. Find its surface area.

Answer: 234 m^2

Question 3: Construct a cuboid on the grid with a surface area of 94 cm^2, where length = 4 cm and width = 2 cm. Find the possible height.

Answer: H = 5 cm

Question 4: A box has surface area 150 in^2. If the length is 10 in, width 5 in, what is the height?

Answer: H = 4 in

Question 5: A cube-shaped storage unit has a surface area of 96 m^2. Find the length of each side.

Answer: 4 m

Question 6: A container measures 7 m in length, 3 m in width, and 2 m in height. Calculate the surface area and determine if it’s suitable to be painted with 100 m^2 of paint.

Answer: Surface Area = 86 m^2; suitable

Question 7: Explain why using the formula SA = 2(lw + lh + wh) is efficient for calculating the surface area of cuboids compared to counting individual faces.

Answer: It simplifies calculations by combining areas into a single formula, saving time and reducing errors.

Question 8: A rectangular prism has a surface area of 210 cm^2. Its length is 10 cm and width is 5 cm. Find the height.

Answer: H = 4 cm

Question 9: Challenge: A cuboid has dimensions such that its surface area is 200 cm^2. If the length is twice the width and the height is 3 cm, find the dimensions.

Answer: Width = 5 cm, Length = 10 cm, Height = 3 cm

Question 10: Identify and correct the mistake in this solution: A cuboid with dimensions 6 cm, 4 cm, and 3 cm was calculated to have surface area 108 cm^2 by adding all face areas.

Answer: Incorrect; surface area = 2(6*4 + 6*3 + 4*3) = 2(24 + 18 + 12) = 2(54) = 108 cm^2. The calculation is correct, but explanation should clarify the formula application.